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Finding the Fourth Proportional to 205.31, 308.10 and 109.19

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Solution

The fourth proportional to 205.31, 308.10 and 109.19 is: 163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 308.10 = 109.19 : x
  2. Step 2: Convert to fraction form
    205.31/308.10 = 109.19/x
  3. Step 3: Cross multiply
    205.31x = 308.10 × 109.19
  4. Step 4: Simplify right side
    205.31x = 33,641.44
  5. Step 5: Solve for x
    x = 33,641.44/205.31
  6. Step 6: Final answer
    x = 163.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.